When Yzerman drafted Edvinsson he said:
“Once you are a solid defensive hockey team, you’re going to be competitive and you can win a lot of nights,” Yzerman said. “Over time, we’ll be able to add to the offense.”
I think that really tells you all you need to know about the direction of the next coach. Of the guys listed above: Larionov has minimal coaching experience, and has generally sucked when he's coached. He's also routinely discussed how the NHL is too defensive. Maurice has basically said he's not interested in coaching in the immediate future. Quenneville is in purgatory. Gronborg is an unknown who's never coached high level North American hockey.
Only Lane Lambert has A) a defensive mindset, B) a strong track record in North America, C) is actually available for an NHL head coaching job. He's your next coach. Book it.